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Simplifying -4(1 + 5v) = 30 + -3v (1 * -4 + 5v * -4) = 30 + -3v (-4 + -20v) = 30 + -3v Solving -4 + -20v = 30 + -3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '3v' to each side of the equation. -4 + -20v + 3v = 30 + -3v + 3v Combine like terms: -20v + 3v = -17v -4 + -17v = 30 + -3v + 3v Combine like terms: -3v + 3v = 0 -4 + -17v = 30 + 0 -4 + -17v = 30 Add '4' to each side of the equation. -4 + 4 + -17v = 30 + 4 Combine like terms: -4 + 4 = 0 0 + -17v = 30 + 4 -17v = 30 + 4 Combine like terms: 30 + 4 = 34 -17v = 34 Divide each side by '-17'. v = -2 Simplifying v = -2
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